Partition of an interval: Difference between revisions

Revision as of 07:51, 3 November 2013

The vesica piscis is a shape that is the intersection of two circles with the same radius, intersecting in such a way that the center of each circle lies on the perimeter of the other. The name literally means the "bladder of a fish" in Latin. The shape is also called mandorla ("almond" in Italian).

The term is also used more generally for any symmetric lens.^[1]

Mathematical description

The mathematical ratio of the height of the vesica piscis to the width across its center is the square root of 3, or 1.7320508... (since if straight lines are drawn connecting the centers of the two circles with each other and with the two points where the circles intersect, two equilateral triangles join along an edge). The ratios 265:153 = 1.7320261... and 1351:780 = 1.7320513... are two of a series of approximations to this value, each with the property that no better approximation can be obtained with smaller whole numbers. Archimedes of Syracuse, in his On the Measurement of the Circle, uses these ratios as upper and lower bounds:^[2]

${\tfrac {1351}{780}}>{\sqrt {3}}>{\tfrac {265}{153}}\,.$

Mysticism

The vesica piscis has been the subject of mystical speculation at several periods of history, and is viewed as important in some forms of Kabbalah. More recently, numerous New Age authors have interpreted it as a yonic symbol and claimed that this, a reference to the female genitals, is a traditional interpretation.^[3]^[4]^[5]^[6]^[7]

One author claims that the total solar eclipse inspires images of the vesica piscis.^[8] The ancient Egyptians practiced sacred geometry based on the shape. Architects and artists copied the solar eclipse/vesica piscis and its mathematics in their sacred buildings and artwork to reflect their religious beliefs. This ancient tradition was passed on through the centuries by the Freemasons.^[9]

Uses

In Christian art, some aureolas are in the shape of a vertically oriented vesica piscis, and the seals of ecclesiastical organizations can be enclosed within a vertically oriented vesica piscis (instead of the more usual circular enclosure).

The cover of the Chalice Well in Glastonbury (Somerset, United Kingdom) depicts a stylized version of the vesica piscis design (see picture).

The vesica piscis has been used as a symbol within Freemasonry, most notably in the shapes of the collars worn by officiants of the Masonic rituals.^[10] It was also considered the proper shape for the enclosure of the seals of Masonic lodges.^[11]^[12]

The vesica piscis is also used as proportioning system in architecture, in particular Gothic architecture. The system was illustrated in Cesare Cesariano's Vitruvius (1521), which he called "the rule of the German architects".

The shape is sometimes used for rapid transit systems.

Gallery

Christ in Majesty within a mandorla-shaped aureola in a medieval illuminated manuscript
Christ in majesty within a mandorla-shaped aureola, surrounded by emblems of the evangelists (13th century)
Christ within a mandorla-shaped aureola, surrounded by emblems of the evangelists (fresco)
Church of Scotland logo

Church of Scotland logo
Coat of arms of Guam
Madonna in mandorla attended by angels.
Official seal of Johns Hopkins University

Official seal of Johns Hopkins University

References

43 year old Petroleum Engineer Harry from Deep River, usually spends time with hobbies and interests like renting movies, property developers in singapore new condominium and vehicle racing. Constantly enjoys going to destinations like Camino Real de Tierra Adentro. Template:Commonscat

↑ 22 year-old Systems Analyst Rave from Merrickville-Wolford, has lots of hobbies and interests including quick cars, property developers in singapore and baking. Always loves visiting spots like Historic Monuments Zone of Querétaro.

Here is my web site - cottagehillchurch.com
↑ Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.

Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.

In case you are in search of an actual estate or Singapore property agent on-line, you simply should belief your intuition. It's because you do not know which agent is nice and which agent will not be. Carry out research on several brokers by looking out the internet. As soon as if you end up positive that a selected agent is dependable and reliable, you can choose to utilize his partnerise in finding you a home in Singapore. Most of the time, a property agent is taken into account to be good if he or she locations the contact data on his website. This may mean that the agent does not mind you calling them and asking them any questions relating to new properties in singapore in Singapore. After chatting with them you too can see them in their office after taking an appointment.

Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region

Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.

15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.

To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010
↑ Barbara Walker, The Woman's Encyclopedia of Myths and Secrets (Harper San Francisco, 1983).
↑ Kevin L. Gest, The Secrets of Solomon's Temple (ISBN 0853182566).
↑ Kathy Jones, The Goddess in Glastonbury (1990).
↑ Margaret Starbird, Magdalene's Lost Legacy, Symbolic Numbers & Sacred Union.
↑ Constance S. Rodriguez PhD, LCSW - Sacred Portals, Pathways to the Self (ISBN 9781403375926).
↑ Nicholas R. Mann, The Sacred Geometry of Washington, D.C. p. 92 (Barnes & Noble, 2006)
↑ Nicholas R. Mann, The Sacred Geometry of Washington, D.C., p. 92 (Barnes & Noble, 2006)
↑ J. S. M. Ward, An Interpretation of Our Masonic Symbols, 1924, pp. 34–35.
↑ Albert G. Mackey, Encyclopaedia of Freemasonry, 1921 ed., vol. 2, p. 827.
↑ Shawn Eyer, The Vesica Piscis and Freemasonry. Retrieved on 2009-04-18.

[1] 22 year-old Systems Analyst Rave from Merrickville-Wolford, has lots of hobbies and interests including quick cars, property developers in singapore and baking. Always loves visiting spots like Historic Monuments Zone of Querétaro.

Here is my web site - cottagehillchurch.com

[2] Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.

Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.

In case you are in search of an actual estate or Singapore property agent on-line, you simply should belief your intuition. It's because you do not know which agent is nice and which agent will not be. Carry out research on several brokers by looking out the internet. As soon as if you end up positive that a selected agent is dependable and reliable, you can choose to utilize his partnerise in finding you a home in Singapore. Most of the time, a property agent is taken into account to be good if he or she locations the contact data on his website. This may mean that the agent does not mind you calling them and asking them any questions relating to new properties in singapore in Singapore. After chatting with them you too can see them in their office after taking an appointment.

Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region

Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.

15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.

To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010

[3] Barbara Walker, The Woman's Encyclopedia of Myths and Secrets (Harper San Francisco, 1983).

[4] Kevin L. Gest, The Secrets of Solomon's Temple (ISBN 0853182566).

[5] Kathy Jones, The Goddess in Glastonbury (1990).

[6] Margaret Starbird, Magdalene's Lost Legacy, Symbolic Numbers & Sacred Union.

[7] Constance S. Rodriguez PhD, LCSW - Sacred Portals, Pathways to the Self (ISBN 9781403375926).

[8] Nicholas R. Mann, The Sacred Geometry of Washington, D.C. p. 92 (Barnes & Noble, 2006)

[9] Nicholas R. Mann, The Sacred Geometry of Washington, D.C., p. 92 (Barnes & Noble, 2006)

[10] J. S. M. Ward, An Interpretation of Our Masonic Symbols, 1924, pp. 34–35.

[11] Albert G. Mackey, Encyclopaedia of Freemasonry, 1921 ed., vol. 2, p. 827.

[12] Shawn Eyer, The Vesica Piscis and Freemasonry. Retrieved on 2009-04-18.

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@@ Line 1: / Line 1: @@
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+{{redirects here|Fish bladder|swim bladder of a fish|swim bladder}}
+[[Image:Vesica Piscis.svg|thumb|right|220px|The Vesica Piscis]]
+The '''vesica piscis''' is a [[shape]] that is the intersection of two [[circle]]s with the same radius, intersecting in such a way that the center of each circle lies on the perimeter of the other. The name literally means the "bladder of a [[fish]]" in [[Latin]].  The shape is also called ''[[mandorla]]'' ("[[almond]]" in [[Italian language|Italian]]).
+The term is also used more generally for any symmetric [[Lens (geometry)|lens]].<ref>{{mathworld|title=Lens|urlname=Lens}}</ref>
+== Mathematical description ==
+[[Image:Chalice Well Cover.jpg|thumb|right|The modern cover of the Chalice Well with an artistic rendering of the vesica piscis]]
+The mathematical ratio of the height of the vesica piscis to the width across its center is the [[square root of 3]], or 1.7320508... (since if straight lines are drawn connecting the centers of the two circles with each other and with the two points where the circles intersect, two equilateral triangles join along an edge). The ratios 265:153 = 1.7320261... and 1351:780 = 1.7320513... are two of a series of [[Best rational approximation|approximations]] to this value, each with the property that no better approximation can be obtained with smaller whole numbers.  [[Archimedes|Archimedes of Syracuse]], in his ''[[On the Measurement of the Circle]]'', uses these ratios as upper and lower bounds:<ref>{{Citation| last = Heath| first = Thomas Little| year = 1897| title = The Works of Archimedes| publication-place = Cambridge University| pages = ''lxxvii ''; 50| url = http://www.archive.org/details/worksofarchimede029517mbp | accessdate = 2010-01-30}}</ref>
+<math>\tfrac{1351}{780} > \sqrt{3} > \tfrac{265}{153}\,.</math>
+==Mysticism ==
+The vesica piscis has been the subject of mystical speculation at several periods of history, and is viewed as important in some forms of [[Flower of Life|Kabbalah]]. More recently, numerous [[New Age]] authors have interpreted it as a [[yoni]]c symbol and claimed that this, a reference to the female genitals, is a traditional interpretation.<ref>Barbara Walker, The Woman's Encyclopedia of Myths and Secrets (Harper San Francisco, 1983).</ref><ref>Kevin L. Gest, The Secrets of Solomon's Temple (ISBN 0853182566).</ref><ref>Kathy Jones, The Goddess in Glastonbury (1990).</ref><ref>Margaret Starbird, Magdalene's Lost Legacy, Symbolic Numbers & Sacred Union.</ref><ref>Constance S. Rodriguez PhD, LCSW - Sacred Portals, Pathways to the Self (ISBN 9781403375926).</ref>
+One author claims that the total [[solar eclipse]] inspires images of the vesica piscis.<ref>Nicholas R. Mann, ''The Sacred Geometry of Washington, D.C.'' p. 92 (Barnes & Noble, 2006)</ref> The ancient Egyptians practiced [[sacred geometry]] based on the shape. Architects and artists copied the solar eclipse/vesica piscis and its mathematics in their sacred buildings and artwork to reflect their religious beliefs. This ancient tradition was passed on through the centuries by the [[Freemasons]].<ref>Nicholas R. Mann, ''The Sacred Geometry of Washington, D.C.'', p. 92  (Barnes & Noble, 2006)</ref>
+==Uses==
+In [[Christian art]], some [[aureola]]s are in the shape of a vertically oriented vesica piscis, and the [[Seal (device)#Ecclesiastical_seals|seals of ecclesiastical organizations]] can be enclosed within a vertically oriented vesica piscis (instead of the more usual circular enclosure).
+The cover of the [[Chalice Well]] in [[Glastonbury]] ([[Somerset]], [[United Kingdom]]) depicts a stylized version of the vesica piscis design (see picture).
+The vesica piscis has been used as a symbol within [[Freemasonry]], most notably in the shapes of the collars worn by officiants of the Masonic rituals.<ref>J. S. M. Ward, An Interpretation of Our Masonic Symbols, 1924, pp. 34–35.</ref> It was also considered the proper shape for the enclosure of the seals of Masonic lodges.<ref>Albert G. Mackey, Encyclopaedia of Freemasonry, 1921 ed., vol. 2, p. 827.</ref><ref>Shawn Eyer, [http://academialodge.org/article_vesica_piscis.php The Vesica Piscis and Freemasonry]. Retrieved on 2009-04-18.</ref>
+The vesica piscis is also used as proportioning system in architecture, in particular [[Gothic architecture]]. The system was illustrated in [[Cesare Cesariano]]'s Vitruvius (1521), which he called "the rule of the German architects".
+The shape is sometimes used for [[rapid transit#Network topologies|rapid transit systems]].
+==Gallery==
+<gallery>
+File:Codex Bruchsal 1 01v cropped.jpg|[[Christ in Majesty]] within a mandorla-shaped [[aureola]] in a medieval [[illuminated manuscript]]
+File:CLUNY-Coffret Christ 1.JPG|[[Christ in majesty]] within a mandorla-shaped [[aureola]], surrounded by emblems of the evangelists (13th century)
+File:Groenbaek Kalkmaleri detalje.jpg|Christ within a mandorla-shaped [[aureola]], surrounded by emblems of the evangelists (fresco)
+File:CofSBurningBushLogo.JPG|[[Church of Scotland]] logo
+File:Coat_of_arms_of_Guam.svg|Coat of arms of [[Guam]]
+File:Como - San Fedele - Madonna in Mandorla.jpg|[[Madonna (art)|Madonna]] in mandorla attended by angels.
+File:Johns Hopkins University seal.svg|Official seal of [[Johns Hopkins University]]
+</gallery>
+==References==
+{{reflist}}
+{{commonscat|Vesica piscis}}
+==See also==
+*[[Halo (religious iconography)]]
+*[[Ichthys]]
+*[[Flower of Life]]
+*[[Villarceau circles]]
+*[[Triquetra]]
+*[[Reuleaux polygon]]
+*[[Vesicle pisces]]
+*[[Catch of 153 fish]]
+*[[Venn diagram]]
+*[[Intersection (set theory)]]
+*[[Swim bladder]]
+[[Category:Mathematics and mysticism]]
+[[Category:Visual motifs]]
+[[Category:Geometric shapes]]
+[[Category:Iconography]]

Partition of an interval: Difference between revisions

Revision as of 07:51, 3 November 2013

Contents

Mathematical description

Mysticism

Uses

Gallery

References

See also

Navigation menu

Partition of an interval: Difference between revisions

Revision as of 07:51, 3 November 2013

Mathematical description

Mysticism

Uses

Gallery

References

See also

Navigation menu

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